Finding the Third Proportional to 32,408 and 70,672

Step by Step Solution

1. Step 1: Write the proportion equation
   32,408 : 70,672 = 70,672 : x
2. Step 2: Convert to fraction form
   32,408/70,672 = 70,672/x
3. Step 3: Cross multiply
   32,408x = 70,672 × 70,672
4. Step 4: Simplify right side
   32,408x = 4,994,531,584
5. Step 5: Solve for x
   x = 4,994,531,584/32,408
6. Step 6: Final answer
   x = 154,114.16